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 Documentation Ver 1.0.0 August 2011 by
 <a href="http://mmc.geofisica.unam.mx/luiggi">Luis M. de la Cruz</a> <br>
 <a href="http://mmc.geofisica.unam.mx"> GMMC </a> -
 <a href="http://www.geofisica.unam.mx/recnat/"> Depto. de Recursos Naturales </a> -
 <a href="http://www.geofisica.unam.mx"> Instituto de Geof&iacute;sica </a> -
 <a href="http://www.unam.mx"> UNAM </a><br>
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<div class="title">Examples/09FlowInPorousMedia/FiveSpot3D.cpp</div>  </div>
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<div class="contents">
<div class="fragment"><pre class="fragment"><a name="l00001"></a>00001 
<a name="l00027"></a>00027 <span class="preprocessor">#include &lt;iostream&gt;</span>
<a name="l00028"></a>00028 <span class="preprocessor">#include &lt;cmath&gt;</span>
<a name="l00029"></a>00029 <span class="preprocessor">#include &quot;Meshes/Uniform.hpp&quot;</span>
<a name="l00030"></a>00030 <span class="preprocessor">#include &quot;Equations/TwoPhaseEquation.hpp&quot;</span>
<a name="l00031"></a>00031 <span class="preprocessor">#include &quot;./FS/FSIP1.hpp&quot;</span>
<a name="l00032"></a>00032 <span class="preprocessor">#include &quot;./FS/FSES1.hpp&quot;</span>
<a name="l00033"></a>00033 <span class="preprocessor">#include &quot;Solvers/TDMA.hpp&quot;</span>
<a name="l00034"></a>00034 <span class="preprocessor">#include &quot;Solvers/explicit.hpp&quot;</span>
<a name="l00035"></a>00035 <span class="preprocessor">#include &quot;Utils/inout.hpp&quot;</span> 
<a name="l00036"></a>00036 <span class="preprocessor">#include &quot;Utils/num_utils.hpp&quot;</span>
<a name="l00037"></a>00037 <span class="preprocessor">#include &quot;Utils/GNUplot.hpp&quot;</span>
<a name="l00038"></a>00038 <span class="keyword">using namespace </span>Tuna;
<a name="l00039"></a>00039   
<a name="l00040"></a>00040 <span class="comment">// Scalar field in two dimensions</span>
<a name="l00041"></a>00041 <span class="keyword">typedef</span> <a class="code" href="structTuna_1_1TunaArray.html#af3bcab5018eec3d7697c9fb03ad89157" title="Definition of big arrays to store scalar fields on meshes.">TunaArray&lt;double,3&gt;::huge</a> ScalarField3D;
<a name="l00042"></a>00042 
<a name="l00043"></a>00043 <a class="code" href="structTuna_1_1timer.html" title="Struct useful to measure the elapsed time.">timer</a> crono;
<a name="l00044"></a>00044 
<a name="l00045"></a>00045 <span class="keywordtype">int</span> pausa;
<a name="l00046"></a>00046 
<a name="l00047"></a>00047 <span class="keywordtype">int</span> main() 
<a name="l00048"></a>00048 {
<a name="l00049"></a>00049   <span class="keywordtype">double</span> length_x, length_y, length_z, dt, Tmax, tolerance = 1e-6; 
<a name="l00050"></a>00050   <span class="keywordtype">int</span> num_nodes_x, num_nodes_y, num_nodes_z, frequency, tdma_iter = 20;
<a name="l00051"></a>00051   <span class="keywordtype">double</span> porosity, permeability, mu_w, mu_o, Srw, Sro;
<a name="l00052"></a>00052   <span class="keywordtype">double</span> injection, pres_out, Sw_in;
<a name="l00053"></a>00053   <span class="keywordtype">int</span> idt_p;  
<a name="l00054"></a>00054 
<a name="l00055"></a>00055   <span class="keywordtype">string</span> filenameInput;
<a name="l00056"></a>00056 
<a name="l00057"></a>00057   <span class="comment">// Reading data from the input file</span>
<a name="l00058"></a>00058   <span class="comment">//  cout &lt;&lt; &quot;\n ---&gt; File name for input: &quot;; cin &gt;&gt; filenameInput;</span>
<a name="l00059"></a>00059   <span class="comment">//  std::ifstream input_cin (filenameInput.c_str()); </span>
<a name="l00060"></a>00060   std::ifstream input_cin (<span class="stringliteral">&quot;inputFS3D&quot;</span>); 
<a name="l00061"></a>00061   input_cin &gt;&gt; length_x &gt;&gt; length_y &gt;&gt; length_z
<a name="l00062"></a>00062             &gt;&gt; num_nodes_x &gt;&gt; num_nodes_y &gt;&gt; num_nodes_z
<a name="l00063"></a>00063             &gt;&gt; porosity
<a name="l00064"></a>00064             &gt;&gt; permeability
<a name="l00065"></a>00065             &gt;&gt; mu_w
<a name="l00066"></a>00066             &gt;&gt; mu_o
<a name="l00067"></a>00067             &gt;&gt; Srw
<a name="l00068"></a>00068             &gt;&gt; Sro
<a name="l00069"></a>00069             &gt;&gt; injection
<a name="l00070"></a>00070             &gt;&gt; pres_out
<a name="l00071"></a>00071             &gt;&gt; Sw_in
<a name="l00072"></a>00072             &gt;&gt; dt
<a name="l00073"></a>00073             &gt;&gt; Tmax
<a name="l00074"></a>00074             &gt;&gt; idt_p
<a name="l00075"></a>00075             &gt;&gt; frequency;
<a name="l00076"></a>00076   input_cin.close();
<a name="l00077"></a>00077   
<a name="l00078"></a>00078     <span class="keywordtype">double</span> Gamma = permeability;
<a name="l00079"></a>00079 
<a name="l00080"></a>00080     <a class="code" href="classTuna_1_1StructuredMesh.html" title="General structured meshes on rectangular domains.">StructuredMesh&lt;Uniform&lt;double, 3&gt;</a> &gt; mesh(length_x, num_nodes_x,
<a name="l00081"></a>00081                                              length_y, num_nodes_y,
<a name="l00082"></a>00082                                              length_z, num_nodes_z);
<a name="l00083"></a>00083     <span class="keywordtype">double</span> dx = mesh.getDelta(X);
<a name="l00084"></a>00084     <span class="keywordtype">double</span> dy = mesh.getDelta(Y);
<a name="l00085"></a>00085     <span class="keywordtype">double</span> dz = mesh.getDelta(Z);
<a name="l00086"></a>00086     mesh.print();
<a name="l00087"></a>00087 
<a name="l00088"></a>00088     ScalarField3D p ( mesh.getExtentVolumes() );
<a name="l00089"></a>00089     ScalarField3D Sw ( mesh.getExtentVolumes() ); 
<a name="l00090"></a>00090     ScalarField3D p_n( mesh.getExtentNodes()   );
<a name="l00091"></a>00091     ScalarField3D Sw_n( mesh.getExtentNodes()   );
<a name="l00092"></a>00092 
<a name="l00093"></a>00093     <span class="comment">// Initial conditions</span>
<a name="l00094"></a>00094     Sw = 0;
<a name="l00095"></a>00095     p = pres_out; 
<a name="l00096"></a>00096  
<a name="l00097"></a>00097     Range all = Range::all();
<a name="l00098"></a>00098 
<a name="l00099"></a>00099     NumUtils::interpolateToNodes(p_n, p);
<a name="l00100"></a>00100     InOut::writeToFile_DX(p_n, 0, <span class="stringliteral">&quot;./DataFS3D/pres.&quot;</span>, dx, dy, dz);
<a name="l00101"></a>00101     NumUtils::interpolateToNodes(Sw_n, Sw);
<a name="l00102"></a>00102     InOut::writeToFile_DX(Sw_n, 0, <span class="stringliteral">&quot;./DataFS3D/satu.&quot;</span>, dx, dy, dz);
<a name="l00103"></a>00103         
<a name="l00104"></a>00104     SparseMatrix&lt; Diagonal&lt;double, 3&gt; &gt; A(num_nodes_x, num_nodes_y, num_nodes_z); 
<a name="l00105"></a>00105     ScalarField3D                       b(num_nodes_x, num_nodes_y, num_nodes_z);
<a name="l00106"></a>00106 
<a name="l00107"></a>00107     <a class="code" href="classTuna_1_1TwoPhaseEquation.html" title="This class derives from GeneralEquation through B &amp; N trick.">TwoPhaseEquation&lt; FSIP1&lt;double, 3&gt;</a> &gt; pressure(p, A, b, mesh.getDeltas());
<a name="l00108"></a>00108     pressure.setDeltaTime(dt); 
<a name="l00109"></a>00109     pressure.setPermeability(permeability);
<a name="l00110"></a>00110     pressure.setPorosity(porosity);
<a name="l00111"></a>00111     pressure.setSrw(Srw);
<a name="l00112"></a>00112     pressure.setSro(Sro);
<a name="l00113"></a>00113     pressure.setViscosity_w(mu_w);
<a name="l00114"></a>00114     pressure.setViscosity_o(mu_o);
<a name="l00115"></a>00115     pressure.setInjection(injection);
<a name="l00116"></a>00116     pressure.setNeumann  (LEFT_WALL);
<a name="l00117"></a>00117     pressure.setNeumann  (RIGHT_WALL);
<a name="l00118"></a>00118     pressure.setNeumann  (TOP_WALL);
<a name="l00119"></a>00119     pressure.setNeumann  (BOTTOM_WALL);
<a name="l00120"></a>00120     pressure.setNeumann  (FRONT_WALL);
<a name="l00121"></a>00121     pressure.setNeumann  (BACK_WALL);
<a name="l00122"></a>00122     pressure.setSaturation(Sw);
<a name="l00123"></a>00123     pressure.print();
<a name="l00124"></a>00124 
<a name="l00125"></a>00125     <span class="comment">//</span>
<a name="l00126"></a>00126     <span class="comment">// In these case, the boundary conditions are calculated in</span>
<a name="l00127"></a>00127     <span class="comment">// the numerical scheme (the adaptor BLES7).</span>
<a name="l00128"></a>00128     <span class="comment">//</span>
<a name="l00129"></a>00129     <a class="code" href="classTuna_1_1TwoPhaseEquation.html" title="This class derives from GeneralEquation through B &amp; N trick.">TwoPhaseEquation&lt; FSES1&lt;double, 3&gt;</a> &gt; saturation(Sw, A, b, mesh.getDeltas());
<a name="l00130"></a>00130     saturation.setDeltaTime(dt); 
<a name="l00131"></a>00131     saturation.setPermeability(permeability);
<a name="l00132"></a>00132     saturation.setPorosity(porosity);
<a name="l00133"></a>00133     saturation.setSrw(Srw);
<a name="l00134"></a>00134     saturation.setSro(Sro);
<a name="l00135"></a>00135     saturation.setInjection(injection);
<a name="l00136"></a>00136     saturation.setViscosity_w(mu_w);  
<a name="l00137"></a>00137     saturation.setViscosity_o(mu_o); 
<a name="l00138"></a>00138     saturation.setNeumann  (LEFT_WALL);
<a name="l00139"></a>00139     saturation.setNeumann  (RIGHT_WALL);
<a name="l00140"></a>00140     saturation.setNeumann  (TOP_WALL);
<a name="l00141"></a>00141     saturation.setNeumann  (BOTTOM_WALL);    
<a name="l00142"></a>00142     saturation.setNeumann  (FRONT_WALL);
<a name="l00143"></a>00143     saturation.setNeumann  (BACK_WALL);
<a name="l00144"></a>00144     saturation.setPressure(p);
<a name="l00145"></a>00145     saturation.print();
<a name="l00146"></a>00146 
<a name="l00147"></a>00147 
<a name="l00148"></a>00148     ofstream error_fp(<span class="stringliteral">&quot;./DataFS3D/error&quot;</span>), 
<a name="l00149"></a>00149       residual_fp(<span class="stringliteral">&quot;./DataFS3D/residual&quot;</span>);
<a name="l00150"></a>00150     <span class="keywordtype">int</span> iteration = 1, idprint = 1;
<a name="l00151"></a>00151     <span class="keywordtype">double</span> t = dt;
<a name="l00152"></a>00152     <span class="keywordtype">double</span> error = 1.0;
<a name="l00153"></a>00153     <span class="keywordtype">double</span> residual = 1.0;
<a name="l00154"></a>00154 
<a name="l00155"></a>00155     <span class="keywordtype">int</span> pausa;
<a name="l00156"></a>00156     <span class="keywordtype">double</span> maximo;
<a name="l00157"></a>00157 
<a name="l00158"></a>00158     <span class="keywordtype">int</span> bi = saturation.get_bi(), bj = saturation.get_bj(), bk = saturation.get_bk();
<a name="l00159"></a>00159     <span class="keywordtype">int</span> ei = saturation.get_ei(), ej = saturation.get_ej(), ek = saturation.get_ek(); 
<a name="l00160"></a>00160 
<a name="l00161"></a>00161     frequency *= (86400 / dt);
<a name="l00162"></a>00162 
<a name="l00163"></a>00163     <span class="keywordtype">double</span> total_time = 0, pres_time = 0, sat_time = 0;
<a name="l00164"></a>00164     <span class="keywordflow">while</span> (t &lt;= Tmax) {
<a name="l00165"></a>00165 
<a name="l00166"></a>00166       <span class="keywordflow">if</span> ( !(iteration % idt_p) ) {
<a name="l00167"></a>00167         crono.<a class="code" href="structTuna_1_1timer.html#a5b0cf85d5db9b941e13ce7c79d7de7b0" title="Start the clock.">tic</a>();
<a name="l00168"></a>00168         pressure.calcCoefficients();
<a name="l00169"></a>00169         Solver::TDMA3D(pressure, tolerance, tdma_iter, 1.0);
<a name="l00170"></a>00170         pres_time += crono.<a class="code" href="structTuna_1_1timer.html#a3796592dd5b589521e1093d9225eee5e" title="Stop the clock and returns the elapsed time.">toc</a>();
<a name="l00171"></a>00171         
<a name="l00172"></a>00172         residual = pressure.calcResidual();
<a name="l00173"></a>00173         error = pressure.calcErrorL1();
<a name="l00174"></a>00174         
<a name="l00175"></a>00175         error_fp &lt;&lt; iteration &lt;&lt; <span class="stringliteral">&quot;\t&quot;</span> &lt;&lt; error &lt;&lt; std::endl;
<a name="l00176"></a>00176         residual_fp &lt;&lt; iteration &lt;&lt; <span class="stringliteral">&quot;\t&quot;</span> &lt;&lt; residual &lt;&lt; std::endl;      
<a name="l00177"></a>00177         
<a name="l00178"></a>00178         pressure.update();
<a name="l00179"></a>00179       }  
<a name="l00180"></a>00180 
<a name="l00181"></a>00181       crono.<a class="code" href="structTuna_1_1timer.html#a5b0cf85d5db9b941e13ce7c79d7de7b0" title="Start the clock.">tic</a>();
<a name="l00182"></a>00182       saturation.calcCoefficients();
<a name="l00183"></a>00183       Solver::solExplicit3D(saturation);
<a name="l00184"></a>00184       sat_time += crono.<a class="code" href="structTuna_1_1timer.html#a3796592dd5b589521e1093d9225eee5e" title="Stop the clock and returns the elapsed time.">toc</a>();
<a name="l00185"></a>00185 
<a name="l00186"></a>00186       error = saturation.calcErrorL1();
<a name="l00187"></a>00187       saturation.update();
<a name="l00188"></a>00188 
<a name="l00189"></a>00189 
<a name="l00190"></a>00190 <span class="comment">// ----- Flux-limiter to cut it off the wiggles</span>
<a name="l00191"></a>00191       <span class="comment">/*</span>
<a name="l00192"></a>00192 <span class="comment">      // Injector treatment: Extrapolation</span>
<a name="l00193"></a>00193 <span class="comment">      Sw(bi,bj,bk) =  2 * Sw(bi+1, bj+1, bk) - Sw(bi+2, bj+2, bk);</span>
<a name="l00194"></a>00194 <span class="comment">      Sw(bi,bj,bk+1) = Sw(ei, ej, ek);</span>
<a name="l00195"></a>00195 <span class="comment">      Sw(bi,bj,bk-1) = Sw(ei, ej, ek);</span>
<a name="l00196"></a>00196 <span class="comment"></span>
<a name="l00197"></a>00197 <span class="comment">      Sw(ei+1, ej+1, ek) = Sw(ei, ej, ek);</span>
<a name="l00198"></a>00198 <span class="comment">      Sw(ei+1,ej+1,ek+1) = Sw(ei, ej, ek);</span>
<a name="l00199"></a>00199 <span class="comment">      Sw(ei+1,ej+1,ek-1) = Sw(ei, ej, ek);</span>
<a name="l00200"></a>00200 <span class="comment">      /* */</span>
<a name="l00201"></a>00201       <span class="comment">// Producer treatment: Extrapolation</span>
<a name="l00202"></a>00202       Sw(ei,ej,ek) =  2 * Sw(ei-1, ej-1, ek) - Sw(ei-2, ej-2, ek);
<a name="l00203"></a>00203       Sw(ei,ej,ek+1) = Sw(ei, ej, ek);
<a name="l00204"></a>00204       Sw(ei,ej,ek-1) = Sw(ei, ej, ek);
<a name="l00205"></a>00205 
<a name="l00206"></a>00206       Sw(ei+1, ej+1, ek) = Sw(ei, ej, ek);
<a name="l00207"></a>00207       Sw(ei+1,ej+1,ek+1) = Sw(ei, ej, ek);
<a name="l00208"></a>00208       Sw(ei+1,ej+1,ek-1) = Sw(ei, ej, ek);
<a name="l00209"></a>00209 
<a name="l00210"></a>00210       <span class="keywordflow">for</span>(<span class="keywordtype">int</span> kk = 0; kk &lt;= (ek+1); ++kk)
<a name="l00211"></a>00211         <span class="keywordflow">for</span>(<span class="keywordtype">int</span> j = 0; j &lt;= (ej+1); ++j)
<a name="l00212"></a>00212           <span class="keywordflow">for</span>(<span class="keywordtype">int</span> i = 0; i &lt;= (ei+1); ++i) {
<a name="l00213"></a>00213             <span class="keywordflow">if</span> ( Sw(i,j,kk) &gt; Sw_in) Sw(i,j,kk) = Sw_in;
<a name="l00214"></a>00214             <span class="keywordflow">if</span> ( Sw(i,j,kk) &lt; Srw ) Sw(i,j,kk) = Srw;
<a name="l00215"></a>00215           }
<a name="l00216"></a>00216 <span class="comment">// ----- </span>
<a name="l00217"></a>00217 
<a name="l00218"></a>00218       saturation.updatePhi(Sw);
<a name="l00219"></a>00219 
<a name="l00220"></a>00220       
<a name="l00221"></a>00221       <span class="keywordflow">if</span> ( !(iteration % frequency) ) {
<a name="l00222"></a>00222         <span class="comment">/*</span>
<a name="l00223"></a>00223 <span class="comment">        NumUtils::interpolateToNodes(p_n, p);</span>
<a name="l00224"></a>00224 <span class="comment">        InOut::writeToFile_DX(p_n, idprint, &quot;./DataFS3D/pres.&quot;,dx, dy, dz);</span>
<a name="l00225"></a>00225 <span class="comment">        </span>
<a name="l00226"></a>00226 <span class="comment">        NumUtils::interpolateToNodes(Sw_n, Sw);</span>
<a name="l00227"></a>00227 <span class="comment">        InOut::writeToFile_DX(Sw_n, idprint, &quot;./DataFS3D/satu.&quot;,dx, dy, dz);</span>
<a name="l00228"></a>00228 <span class="comment">        */</span>
<a name="l00229"></a>00229 
<a name="l00230"></a>00230         InOut::writeToFile_DX(p, idprint, <span class="stringliteral">&quot;./DataFS3D/pres.&quot;</span>,dx, dy, dz);
<a name="l00231"></a>00231         InOut::writeToFile_DX(Sw, idprint, <span class="stringliteral">&quot;./DataFS3D/satu.&quot;</span>,dx, dy, dz);
<a name="l00232"></a>00232 
<a name="l00233"></a>00233         std::cout &lt;&lt; <span class="stringliteral">&quot;\n\n ---- ID print =&gt; &quot;</span> &lt;&lt; idprint
<a name="l00234"></a>00234                   &lt;&lt; <span class="stringliteral">&quot;\t - Iteration =&gt; &quot;</span> &lt;&lt; iteration
<a name="l00235"></a>00235                   &lt;&lt; <span class="stringliteral">&quot;\t Step = &quot;</span> &lt;&lt; t
<a name="l00236"></a>00236                   &lt;&lt; <span class="stringliteral">&quot;\n ---- Res = &quot;</span> &lt;&lt; residual
<a name="l00237"></a>00237                   &lt;&lt; <span class="stringliteral">&quot;\t Err = &quot;</span> &lt;&lt; error;
<a name="l00238"></a>00238         std::cout.flush();
<a name="l00239"></a>00239         ++idprint;
<a name="l00240"></a>00240       }
<a name="l00241"></a>00241 
<a name="l00242"></a>00242       ++iteration;
<a name="l00243"></a>00243       t += dt;
<a name="l00244"></a>00244     }
<a name="l00245"></a>00245 
<a name="l00246"></a>00246     cout &lt;&lt; <span class="stringliteral">&quot;\n\n Presure Elapsed time = &quot;</span> &lt;&lt; pres_time &lt;&lt; <span class="stringliteral">&quot; segs \n&quot;</span>;
<a name="l00247"></a>00247     cout &lt;&lt; <span class="stringliteral">&quot;\n Saturation Elapsed time = &quot;</span> &lt;&lt; sat_time &lt;&lt; <span class="stringliteral">&quot; segs \n&quot;</span>;
<a name="l00248"></a>00248     
<a name="l00249"></a>00249     std::cout &lt;&lt; <span class="stringliteral">&quot;\n\n NOTE: The data were written in the [./DataFS3D] directory \n\n&quot;</span>;
<a name="l00250"></a>00250 
<a name="l00251"></a>00251     <span class="keywordflow">return</span> 0;
<a name="l00252"></a>00252 }
<a name="l00253"></a>00253 
<a name="l00254"></a>00254 
<a name="l00255"></a>00255 
<a name="l00256"></a>00256 
</pre></div></div>
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